In this paper the correlation and regression factor analysis of population growth of Pavlodar region between 2009-2013years. In this article the correlation and regression analysis of fertility by region of Pavlodar region in the period 2009-2013. This analysis relevant in determining the level natural movement of the population according to social factors. In the form factor variable data used general divorce rate in the region and the average housing supply, sq. m. of total area 1 person. According to the results identified a close relationship between the factor and effective sign.

The article considers the influence of the level of feelings of guilt on self-actualization of the individual. Research has been carried out to identify the relationship between the index of propensity to sense of guilt and the degree of self-actualization, on the basis of which the analysis of results and conclusions on the experiment are presented.

Main problem: Small and medium-sized businesses, as an important component of modern production, largely contributes to maintaining a competitive tone in the economy, creates a natural social support for a social structure organized on the principles of the market, and also forms a new social stratum of entrepreneurs. Since the establishment of independent Kazakhstan, the sphere of entrepreneurship has always been in the center of attention of the state, and the Strategy "Kazakhstan - 2050": the new political course of the established state, comprehensive support of entrepreneurship as the leading force of the national economy has been identified among its priority tasks. At the present stage of development, the system of state support for small and medium- sized businesses in the Republic of Kazakhstan includes a number of institutions and state programs designed to provide comprehensive support to this sector of the economy. Despite the measures taken by the state to support small and medium-sized enterprises (SMEs), the development of this area in the regions and the Republic of Kazakhstan, in general, faces a number of serious problems, including those of a systemic nature, which involves researching the state, identifying problems and determining prospects for the development of small and medium- sized businesses. Purpose: to study the state, trends and prospects of development of SMEs in Pavlodar region, to identify and describe the problems of organizing the activities of entrepreneurs in the region. Methods: the state of entrepreneurial activity in the region is analyzed in the context of the main socially significant indicators of its development, the main trends and patterns of development of the SME sphere are identified and the reasons that form them are substantiated. As one of the tools for identifying and substantiating the reasons hindering the development of entrepreneurial activity, the study conducted a survey of entrepreneurs to identify the problems of SMEs in the region. Results and their significance: Based on the results of the study, a range of priority problems of SMEs in the region was determined, an assessment of their correlation with similar problems of the SME sector of the Republic of Kazakhstan was given, and a range of basic expectations of entrepreneurs in the context of government measures to support their development was outlined.

Main problem: this article deals with the research of surrealism which is not just one of ordinal modernism directions or one of many isms in the art of the 20th century, but which appears as a universal phenomenon in the culture of the epoch, reflecting its main features; surrealism has risen many issues substantive for culture modernity, and resolutions of which are worthy in-depth study. Purpose: to determine the meaning of the unconscious when building a surrealistic world picture and show the relationship and interinfluence of the arts and reality, real and imaginary within the frames defined by surrealism. Methods: the study is based on philosophical and art review of literary and art works performed by surrealists. In various manifestos and works made by surrealism figures it is traced the intention to penetrate into the depth of human psycho using dreams and different mental illnesses. It is known about the enormous impact that the discoveries made in the field of psychoanalysis had on the development of Surrealist philosophy. So, the method of free associations was popular, which was actively used by the Austrian scientist Z. Freud in his medical practice, talking with the patient and analyzing his dreams, the doctor with the help of key symbols revealed the cause of the neurosis, and the surrealists were attracted by the research of the Swiss psychiatrist C. Jung, devoted to the analysis of archetypes and symbols in the lives of various peoples. Results and their importance: practical significance of the study is related to the following circumstances: the necessity to make sense for the reasons of the crisis which encompasses the culture today, the search of possibilities and ways to recover it; u this work’s materials can be also used in research of creations of young Kazakhstan avant-garde artists. The research materials can also be used in the practice of teaching philosophy, cultural science, psychology, and other humanitarian disciplines and also in work of fine art experts and museum staff; based on the materials of this research, the special courses on culture philosophy, culturology, esthetics and theory of arts can be developed.

Main problem: The article analyzes water quality assurance as the main goal of preserving human health. The study of chemical and microbiological parameters of wastewater and drinking water was carried out using generally accepted standards. The number of deaths associated with the use of contaminated drinking water, according to WHO, tripled in 2021 and reached almost 19 thousand against 6 thousand in 2020. In addition, the number of neoplasms, diseases of the genitourinary system, digestive organs and skin increased by 2 %, to 1.486 million. The reasons for the increase in the level of harmful chemicals and microbiological pollutants in the water are outdated sewage treatment plants, old pipes and disinfection with chlorine. Purpose: Study of the quality of wastewater and drinking water in Pavlodar, study of the quality of wastewater and drinking water in Pavlodar. Methods: Sampling of wastewater, chemical and bacteriological analysis of wastewater and drinking water, statistical method, correlation analysis of experimentally obtained results and calculated characteristics, etc. Results and their significance: In the field of public health risk, pollution of reservoirs that are sources of household drinking water supply and recreational water use, the continuing necessary high deterioration of water supply networks, their accident rate, as a result of low level of operation, failures in the operation of treatment facilities. Hygienic assessment of reservoirs according to complex indicators indicates the continuing high degree of water pollution in places of water use. The water quality indicators of the surface reservoirs of the region remain low in terms of sanitary and chemical (primarily organoleptic and general sanitary), as well as microbiological indicators. According to toxicological indicators, the level of water pollution in places of water use is estimated as moderate. The main pollutants of the Irtysh River in Pavlodar are industrial enterprises and housing and communal facilities that discharge untreated or insufficiently treated wastewater into reservoirs. A complex of causes of drinking water pollution has been identified: high deterioration of water supply networks, their accident rate, because of a low level of operation, failures in the operation of treatment facilities, unfair treatment of industrial wastewater by industrial enterprises of Pavlodar, etc. Priority preventive directions for improving the quality of water as a source of life are the implementation of long-term targeted planning of measures for the modernization of water supply and sewerage networks and facilities in Pavlodar. The state of water supply necessary and measures to improve it should be constantly monitored and considered at meetings of sanitary and anti-epidemic commissions.

It is known that an increase in the volume of production in any sphere of production as a consequence increases the intensity of anthropogenic impact on the environment, including the atmosphere. This problem is especially typical for oil refineries. On the one hand, this is due to the complexity of oil refining processes and the release of various hydrocarbon compounds into the atmosphere during processing. Therefore, when implementing sustainable ecological and economic development in the Azerbaijani regions that are associated with oil refining, an increase in the volume of products should not create an increase in environmental impact. This problem is considered one of the factors directly affecting the economic situation of the enterprise, as well as creating certain environmental, social and economic problems for society as a whole. The purpose is to study the possibility of using the correlation-regression method in solving the problem of determining the presence of the decapling effect. The relationship between the volume of petroleum products produced and the amount of pollutants released into the atmosphere is random and is characterized by stochastic and statistical dependence. At the same time, on the basis of a mutual comparison of the methods of correlation and regression analysis and the method of production function, the effectiveness of correlation and regression analysis is determined. The methodological basis of the work was the scientific works of scientists-economists, mathematicians providing the definition of the decoupling effect at industrial enterprises. In the presented methodology, the obtained estimates of the performed in real time vary depending on the values of the set parameter. When developing the presented methodology, the STATISTIKA software package was used. This program was developed by StatSoft. Based on the obtained and experimentally verified data, the equation of linear regression dependence is determined. During the research, it was found that in some cases it is not possible to evaluate the statistical characteristics of a random variable or it is accompanied by serious errors. Therefore, when processing data, instead of mathematical expectations and variances, we used selective mathematical expectations and variances. The analysis of the ecological and economic situation of oil refineries based on correlation and regression analysis allows us to determine the presence of the decapling effect. The obtained correlation coefficient between the volume of production oil products and the volume of emissions into the atmosphere shows that there is no statistically significant relationship between these parameters. Thus, there is an achievement of the decoupling effect between the production of petroleum products and the volume of emissions of pollutants into the atmosphere.

Main problem: processes of economic modernization in practical solution should reveal common understanding between institutional, legislative and industrial relations, essence of organizational transformations, formulation of basic provisions for instrumental support of independent transition of technological processes to new round of socio‑economic relations. Processes should be based on new characteristics of standardization, methodology of system functioning, technical conditions, norms, rules, instructions and regulations, which provides for institutional changes. Purpose: to explore new trends in digital transformation of the world economy, as well as to show that tasks and settings of vector of technological processes of digital economy go far beyond known principles of economic development, joining the mainstream of global trends. Methods: theoretical and methodological basis was concepts, hypotheses and theories presented in works of domestic and foreign researchers. The methodology is based on systematic approach, in which methods of comparative, factorial, subject-object, structural-functional, statistical, correlation analysis and extrapolation were applied. Results and their significance: analytical review of theoretical approaches of foreign economists on this problem was carried out, which allowed author to identify theoretical, methodological and applied foundations for determining directions within framework of state strategy for planning socio-economic development. Scientific discussion on conditions for changing model of economic development, modernization of economy with transition to first and second generation platforms, hereinafter referred to as ecosystems, is evaluated. The fundamental differences between theoretical argumentation of proponents of promoted digital technologies and their opponents are determined. Positions of argumentation of impact on change of driving factors are analyzed in order to adjust methods of state policy and choice of vector of technological processes. The question of correlation of macroeconomic theory in evolutionary sense, which goes beyond known principles of economic thought of digital transformation, is considered.

Main problem: achievement of socio-economic sustainability in each locality depends on coordinated actions of executive and representative authorities, which should be focused on creating appropriate conditions for ensuring social standards and improving quality of life of rural population, as well as the development of main economic basis – agricultural production. In this context, in today’s reality, the urgent problem of sustainable development of rural settlements is provision of appropriate industrial and social infrastructure, because systemic development of rural regions depends on this rural infrastructure, which acts as an element of territorial socio-economic subsystem. Purpose: identification and studying of key factors that determines and contributes to balanced development of industrial and social infrastructure of rural regions of country in context of sustainable development goals and objectives. According to the results of the study, the main distinctive features of sustainable development of rural areas are determined due to the provision of industrial and social infrastructure of rural regions, which has a correlation with the level and quality of life of the rural population, as well as the final results of agricultural production. Methods: general methodological principles, systematic approach and empirical methods of economic cognition act as methodological basis for implementation of this study: economic and statistical models, forecasting and modeling, methods of induction and deduction, synthesis, and also logical methods. Results and their significance: results of research can be used as a practical basis in activity of local executive bodies and local self-government bodies. Their use is possible for scientific substantiation of development and implementation of comprehensive plans for development of industrial and social infrastructure of rural areas of region within framework of Regional Development Plan, focused on qualitative improvement of economic basis of villages and the well-being of all segments of rural population.

Main problem: the article substantiates the relevance of the development and production of specialized food products for athletes and the population involved in sports, fitness as part of a healthy lifestyle. Purpose: development of specialized food products with a general health-improving character, intended for the population involved in sports, fitness and experiencing increased physical exertion. Methods: the obtained results were statistically processed using the methods of correlation and regression analysis and standard software packages "Statistica 6.0". Measurements of chemical, microbiological, organoleptic parameters were carried out using standard methods and modern instruments: an analyzer, an analytical analyzer electrophoresis cell, a high-performance liquid chromatograph, and others. Results and their significance: a scientific concept for the creation of fermented specialized milk-based food products for sports nutrition was formulated; biotechnologies for specialized food products for athletes were developed. For the practical implementation of the results of analytical and experimental studies, packages of regulatory and technical documentation for the production of new products have been developed, which have been tested in the production conditions of existing enterprises in the dairy industry.